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Experience by level
Ahmet
Wherever I wanna beMember Posts: 3,370 @@  Legendary Achaean
This math has probably been done before, and\ it's relatively useless as xp/dps is never constant, but I was curious so I took some time out to see what the numbers boiled down to and figured I'd share. At the very least bashing dps might be interesting to some.
The following are values for the amount of time required bashing per level (assuming constant essence per dps) compared to a level 80 baseline (without crit pendant), as well as comparative bashing dps values (in parens), so 250% of the baseline breaks down to 2.5x the bashing time (this DOES take dps changes due to crits into account), and a value of (1.25) in parens would mean you were doing 125% of the damage of someone without crit chance. There are also values for crit pendant levels 1/2/3, compared to the same level 80 nocritpendant baseline. In other words, if you hunt at the same xp/dps it will take you 5.3 times as long to bash level 98 to 99 as it will 80 to 81.
Feel free to call me out and make me look like an ass if I made any mistakes.
Snippet: Dragons with lvl 3 crit pendants only do 2.7x the bashing dps as level 80s without (yes I said only)
Snippet: At dragon, going from no crit pendant to crit pendant is a 30% dps increase while bashing (ikr)
Snippet: A level 3 crit pendant cuts your bashing time from 8099 down by 19.4% compared to no pendant
The following are values for the amount of time required bashing per level (assuming constant essence per dps) compared to a level 80 baseline (without crit pendant), as well as comparative bashing dps values (in parens), so 250% of the baseline breaks down to 2.5x the bashing time (this DOES take dps changes due to crits into account), and a value of (1.25) in parens would mean you were doing 125% of the damage of someone without crit chance. There are also values for crit pendant levels 1/2/3, compared to the same level 80 nocritpendant baseline. In other words, if you hunt at the same xp/dps it will take you 5.3 times as long to bash level 98 to 99 as it will 80 to 81.
Feel free to call me out and make me look like an ass if I made any mistakes.
Snippet: Dragons with lvl 3 crit pendants only do 2.7x the bashing dps as level 80s without (yes I said only)
Snippet: At dragon, going from no crit pendant to crit pendant is a 30% dps increase while bashing (ikr)
Snippet: A level 3 crit pendant cuts your bashing time from 8099 down by 19.4% compared to no pendant
Baseline:
Level 76: 49.49% (1.18)
Level 77: 57.91% (1.19)
Level 78: 68.80% (1.21)
Level 79: 81.31% (1.23)
Level 80: 100% (1.25)
Level 81: 121.1% (1.27)
Level 82: 144.6% (1.30)
Level 83: 170.0% (1.32)
Level 84: 197.0% (1.35)
Level 85: 225.5% (1.39)
Level 86: 254.9% (1.42)
Level 87: 284.9% (1.46)
Level 88: 315.2% (1.51)
Level 89: 345.3% (1.56)
Level 90: 374.7% (1.61)
Level 91: 403.1% (1.68)
Level 92: 430.0% (1.75)
Level 93: 454.9% (1.82)
Level 94: 477.5% (1.91)
Level 95: 497.5% (2.01)
Level 96: 514.4% (2.13)
Level 97: 528.0% (2.25)
Level 98: 538.1% (2.40)
Level 99: 544.6% (2.56)
Level 100: 608.3%
1 crit Pendant:
Level 76: 47.84% (1.22)
Level 77: 55.92% (1.24)
Level 78: 66.35% (1.26)
Level 79: 78.32% (1.28)
Level 80: 96.17% (1.30)
Level 81: 116.3% (1.33)
Level 82: 138.6% (1.35)
Level 83: 162.7% (1.38)
Level 84: 188.2% (1.42)
Level 85: 214.9% (1.45)
Level 86: 242.5% (1.50)
Level 87: 270.4% (1.54)
Level 88: 298.5% (1.59)
Level 89: 326.1% (1.65)
Level 90: 353.0% (1.71)
Level 91: 378.8% (1.78)
Level 92: 402.9% (1.86)
Level 93: 425.1% (1.95)
Level 94: 445.0% (2.05)
Level 95: 462.3% (2.17)
Level 96: 476.7% (2.29)
Level 97: 488.0% (2.44)
Level 98: 496.0% (2.60)
Level 99: 500.8% (2.79)
Level 100: 558.0%
2 crit Pendant:
Level 76: 46.11% (1.27)
Level 77: 53.83% (1.28)
Level 78: 63.79% (1.31)
Level 79: 75.18% (1.33)
Level 80: 92.18% (1.36)
Level 81: 111.3% (1.39)
Level 82: 132.4% (1.42)
Level 83: 155.1% (1.45)
Level 84: 179.1% (1.49)
Level 85: 204.1% (1.53)
Level 86: 229.7% (1.58)
Level 87: 255.7% (1.63)
Level 88: 281.5% (1.69)
Level 89: 306.8% (1.75)
Level 90: 331.3% (1.83)
Level 91: 354.5% (1.91)
Level 92: 376.1% (2.00)
Level 93: 395.7% (2.10)
Level 94: 413.1% (2.21)
Level 95: 428.0% (2.34)
Level 96: 440.2% (2.48)
Level 97: 449.5% (2.65)
Level 98: 455.8% (2.83)
Level 99: 459.1% (3.04)
Level 100: 510.5%
3 crit pendant:
Level 76: 44.30% (1.32)
Level 77: 51.65% (1.34)
Level 78: 61.11% (1.36)
Level 79: 71.92% (1.39)
Level 80: 88.03% (1.42)
Level 81: 106.1% (1.45)
Level 82: 126.0% (1.49)
Level 83: 147.3% (1.53)
Level 84: 169.7% (1.57)
Level 85: 193.0% (1.62)
Level 86: 216.8% (1.67)
Level 87: 240.7% (1.73)
Level 88: 264.3% (1.80)
Level 89: 287.4% (1.87)
Level 90: 309.6% (1.95)
Level 91: 330.4% (2.05)
Level 92: 349.6% (2.15)
Level 93: 367.0% (2.26)
Level 94: 382.1% (2.39)
Level 95: 394.9% (2.54)
Level 96: 405.2% (2.70)
Level 97: 412.8% (2.88)
Level 98: 417.7% (3.09)
Level 99: 419.9% (3.32)
Level 100: 466.0%
Huh. Neat.
1
Comments

This _is_ assuming that experience required per level hasn't been changed by obscene amounts in the recent past, of course.Huh. Neat.0

I'm getting pretty different numbers, from a quick check (haven't redone your entire tables). Dragon with L3 pendant has ~1.9x the DPS of level 80 with no pendant, a L3 pendant only increases a dragon's DPS by ~18% (which means the total reduction in bashing time from <any level> to 99 can't be more than ~16%).
It could be me that's making a mistake somewhere, though. How are you calculating average crit modifier?
0 
Looking back at my dragon information, my xp per hour stayed consistent from 90  99 at 810%. I was bashing the same areas, therefore my hours bashing for each level was consistent too. I am either not understanding your information, or I believe it is wrong.0

Matias said:Looking back at my dragon information, my xp per hour stayed consistent from 90  99 at 810%. I was bashing the same areas, therefore my hours bashing for each level was consistent too. I am either not understanding your information, or I believe it is wrong.Sena said:I'm getting pretty different numbers, from a quick check (haven't redone your entire tables). Dragon with L3 pendant has ~1.9x the DPS of level 80 with no pendant, a L3 pendant only increases a dragon's DPS by ~18% (which means the total reduction in bashing time from <any level> to 99 can't be more than ~16%).
It could be me that's making a mistake somewhere, though. How are you calculating average crit modifier?
And wow a L3 pendant at dragon is only an 18% DPS increase? Isn't a L1 mace as Priest like a 25% DPS boost at any level?
0 
Sena said:I'm getting pretty different numbers, from a quick check (haven't redone your entire tables). Dragon with L3 pendant has ~1.9x the DPS of level 80 with no pendant, a L3 pendant only increases a dragon's DPS by ~18% (which means the total reduction in bashing time from <any level> to 99 can't be more than ~16%).
It could be me that's making a mistake somewhere, though. How are you calculating average crit modifier?function critToDps ( crit ) local dpsTab = {} local dps dpsTab[1] = crit ^ 5 dpsTab[2] = crit^4  crit^5 dpsTab[3] = crit^3  dpsTab[2]  dpsTab[1] dpsTab[4] = crit^2  dpsTab[3]  dpsTab[2]  dpsTab[1] dpsTab[5] = crit  dpsTab[4]  dpsTab[3]  dpsTab[2]  dpsTab[1] dpsTab[6] = 1  dpsTab[1]  dpsTab[2]  dpsTab[3]  dpsTab[4]  dpsTab[5] dps = (dpsTab[6]) + (dpsTab[5] * 2) + (dpsTab[4] * 4) + (dpsTab[3] * 8) + (dpsTab[2] * 16) + (dpsTab[1] * 32) echo(tostring(dpsTab[1]+dpsTab[2]+dpsTab[3]+dpsTab[4]+dpsTab[5]+dpsTab[6]).."\n")  Always echoes 1 return dps end
Where crit chance = ( level  25 ) ^ 3 / 1000000
My numbers were a slight bit off in the first post, but I'm still getting that dps increase from drag to drag with lvl 3 pendant is 27% increase and from 80 to lvl3drag is 2.6x
It's also very possible that this math is completely wrong and I've made a mistake, but I doublechecked cause a few numbers had me questioning, and didn't see anything weird.Huh. Neat.0 
That calculation looks right to me, though it would be much simpler to just write it as
dps = 1+crit+2*crit^2+4*crit^3+8*crit^4+16*crit^5
Your 27% looks about right to me. Crit rate is .405 at 99, .465 with L3 pendant. DPS is base_dps*2.39 without pendant, base_dps*3.02 with L3. Comes out to about a 26.5% increase.
0 
Eld said:That calculation looks right to me, though it would be much simpler to just write it as
dps = 1+crit+2*crit^2+4*crit^3+8*crit^4+16*crit^5
Your 27% looks about right to me. Crit rate is .405 at 99, .465 with L3 pendant. DPS is base_dps*2.39 without pendant, base_dps*3.02 with L3. Comes out to about a 26.5% increase.
Huh. Neat.0 
Ahmet said:Eld said:That calculation looks right to me, though it would be much simpler to just write it as
dps = 1+crit+2*crit^2+4*crit^3+8*crit^4+16*crit^5
Your 27% looks about right to me. Crit rate is .405 at 99, .465 with L3 pendant. DPS is base_dps*2.39 without pendant, base_dps*3.02 with L3. Comes out to about a 26.5% increase.
dps = sum(2^n*c^n*(1c), n=0...4) + 32c^5
= (1c)+2(cc^2)+4(c^2c^3)+8(c^3c^4)+16(c^4c^5)+32c^5
= 1+c+2c^2+4c^3+8c^4+16c^5Could also just do
function dps(c)
d = 32*c^5
for n=0,4 do
d = d + (1c)*(2*c)^n
end
return d
endNothing wrong with your calculation, just suggesting cleaner ways to write the function because I had to write some stuff out to convince myself that yours was correct.
0 
I see what I was doing now. I had the multipliers halved, but also had them multiplied by 1crit (probably left in when I updated the spreadsheet at some point), applying the reduction twice.
0 
Sena said:I see what I was doing now. I had the multipliers halved, but also had them multiplied by 1crit (probably left in when I updated the spreadsheet at some point), applying the reduction twice.
1 
Yeah, just corrected the numbers.
0
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